Question

Which expression represents the composition f(g(h(x))) for the functions below? f(x) = 2x + 1 g(x) = 4x2 h(x) = x2

A)4x^4
B)8x4 + 1
C)8x2 + 1
D)(8x2 + 1)^2

Answer 1

me : option b. teather : (imige: ).

Answer 2

The correct answer is option (b)

Given:
f(x) = 2x + 1
g(x) = 4x^2
h(x) = x^2
Now, g(h(x)) = 4 (x^2)^2 = 4x^4
Now, f(g(h(x))) = 2(4x^4) +1 = 8x^4 + 1

Thus, option b is correct answer